Aim: How do we determine from a scatter plot whether a linear, logarithmic, exponential, or power regression model is most appropriate?
By the end of the lesson, you will be able to...
1. construct a scatter plot from a set of data
2. use the graphing calculator to to write the regression equation
These videos will show yo how to enter data into your graphing calculator to determine non-linear regressions. The ones we will be working with are logarithmic regression, exponential regression, and the power regression. The form for each is:
Logarithmic: y = a*b ln x (We use the natural log for these)
Exponential: y = a*b^x
Power: y=a*x^b
You will be given data to enter into the graphing calculator. Look at r and r^2 on the calculator screen. The r value that is the closest to 1 is the function you choose. (These videos are good examples of what you are expected to do on the Regents) *You can enter the equation by hand if you don't want to memorize more steps to get the data into the y= space Video 1 - this is from James. This is about exponential regression
Video 2: Part 2 from James (This video is a good example of what you are expected to do on the Regents)
Video 3: This is also from James. This video shows a logarithmic regression
Classwork: Solve the following two problems. Use your graphing calculators to help you. In order to determine which regression is the best, try all 4 of them. The one with the data where r is closet to +1 or -1 is the one to choose
By the end of the lesson, you will be able to...
1. construct a scatter plot from a set of data
2. use the graphing calculator to to write the regression equation
These videos will show yo how to enter data into your graphing calculator to determine non-linear regressions. The ones we will be working with are logarithmic regression, exponential regression, and the power regression. The form for each is:
Logarithmic: y = a*b ln x (We use the natural log for these)
Exponential: y = a*b^x
Power: y=a*x^b
You will be given data to enter into the graphing calculator. Look at r and r^2 on the calculator screen. The r value that is the closest to 1 is the function you choose.
(These videos are good examples of what you are expected to do on the Regents)
*You can enter the equation by hand if you don't want to memorize more steps to get the data into the y= space
Video 1 - this is from James. This is about exponential regression
Video 2: Part 2 from James (This video is a good example of what you are expected to do on the Regents)
Video 3: This is also from James. This video shows a logarithmic regression
Classwork: Solve the following two problems. Use your graphing calculators to help you. In order to determine which regression is the best, try all 4 of them. The one with the data where r is closet to +1 or -1 is the one to choose
CW_Nonlin_Regress.JPG
Homework: Answer all questions. Use your graphing calculator.
Non_Lin_Reg.JPG
Non_Lin_Reg_2.JPG
Answers:
A-NonLinReg.JPG
A-NonLinReg2.JPG
Journal entry: How does a scatter plot help you determine which regression function to use?